The recruit screen is where you can sign new fighters and coaches to your gym. You can sort the fighters/coaches in ascending or descending order by clicking on the column names.
Clicking on a fighter or coach will allow you to make an offer, which if it is fair enough they will accept.
Fighters with more wins will want more cash than unproven ones.
Similarly, with coaches the ones with more expertise will be more expensive.
You will receive a message in your mail a day or two later with their response.